from random import randrange as r

doors = {}

for x in range(1,101):                #This part creates doors that are either closed or open.
    doors["door00%s" %x] = "closed"

def toogle_doors(x):                  #This part toogles (if open(1), close(2); if closed(2), open(1)) all the doors with number which can be divided to x
    for k,v in doors.items():
        number = int((str(k))[-3] + (str(k))[-2] + (str(k))[-1])
        if number % x == 0:
            if v == "closed":
                doors[k] = "open"
            else:
                doors[k] = "closed"

for i in range(1,101):               #Starts toogling doors from ones that can divided 1 and contuniues untill 100
    toogle_doors(i)

for k,v in sorted(doors.items()):            #Prints the current state of all the doors
    print (k, v)